Algebraic Expressions - Grade 6

Grade 6 examples and questions on algebraic expressions with detailed solutions and explanations
are presented. Remeber algebraic expressions are some of the most important concepts in understanding algebra and therefore
need to be thoroughly understood.

Which of the following is an algebraic expression?

2x + 2

x + 2 & 8

x / 2 + 6 - x

5 - 3 # x

(x + 3) / 2

- x / 8

What is the coefficient of the term in x in the following algebraic expressions?

2x - 7

x/2 - 10

- x + 7

x + 7

- x / 4

What is the value of 2x + 7 for the given values of x?

x = - 1

x = - 4

x = 0

x = 5

What is the value of the expression x / 3 - 9 for the given values of x?

x = 0

x = 3

x = 9

x = - 12

What is the value of the expression (- x + 2) / 2 + 1 for the given values of x?

x = 0

x = 2

x = - 2

x = - 12

What is the value of the expression 12 x - 3 for the given values of x?

x = 1/2

x = 1/6

x = - 3/4

x = - 1 / 4

What is the value of the expression - 0.1 x + 2.5 for the given values of x?

x = 1

x = - 1

x = 2

x = - 2

Which of the following expressions has the largest value for x = - 3?

x + 10

- x + 10

x / 3 + 10

- x / 3 + 10

Which of the following shows the commutativity property of the addition?

a + b = b - a

a + b = b a

a + b = a / b

a + b = b + a

Which of the following shows the associatitivity property of the addition?

a + b = b + a

(a + b) + c = c + (a + b)

a + ( b + c ) = (a + b) + c

a + ( b + c ) = (a + b) - c

Which of the following expressions is equivalent to the algebraic expression 3x + 2 - x + 4?

6

4x + 6

2x + 6

3x2 +6

Which of the following algebraic expression is a mathematical representation to the statement "2 times x plus 20".

2 + x + 20

2 x + 20

2 - x + 20

2 ÷ x + 20

Which of the following algebraic expression is a mathematical representation to the statement "Three times x subtracted from 17".

3x - 17

17 - 3x

3x + 17

17+3x

Jo has has x cards. Janette has 10 cards more that Jo. Write an algebraic expression that indicates how many cards Janette has.

10 x

x - 10

x + 10

x / 10

Carla had 20 toy cars. She lost x toy cars lately. Write an algebraic expression that indicates how many toy cars Carla has now.

10 x

x - 10

x + 10

x / 10

Chris had $200. He spent $20 on food and he bought a book at the price of a dollars. Write an algebraic expression that indicates how much money chris has left.

200 + 20 - a

200 - 20 - a

20 + a - 200

200 + a + 20

Nathan had x cards and he gave half to Tanya and Tanya gave a third of her card to Salma. Write an algebraic expression that indicates the number of cards Tanya has.